Use the properties of logarithms to rewrite the expression S

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers. log₈(4 2/3)

log₈ (4 2/3) = log₈ 4 + log_{8 (}2/3) = log₈ 4 + log₈2 -log₈ 3 = log₈ 4 + 1/2( log₈2 - log₈ 3) ( as log ab) = log a + log b , log(a/b) = log a - log b and log a^b = b log a)